Dual nature puzzle pieces

Abstract

Two three-dimensional shapes are described. The shapes may be used together both for the working of space-relational puzzles and for the working of many and various tile-like designs.

Having thus described the invention, what I desire to claim and secure by Letters Patent are: 
     
       1. A puzzle piece, said piece having a shape comprising a polyhedron defined by a concave polygon and five other surfaces, said polygon having five equal sides, two of which said sides are imposed on the diagonals to the opposite side in the polygon, each of said other five surfaces bordering a different one of the said five sides and together making five dihedral angles with said polygon, four of which said dihedral angles measure about 63° each and the fifth angle about half that measure, said fifth dihedral angle located opposite of said imposed sides, said puzzle piece able to be combined with other pieces of the same configuration for the working of both tile-like puzzles or designs and three-dimensional puzzles. 
     
     
       2. A puzzle piece, said puzzles piece having a shape comprising a polyhedron defined by a seven-sided concave polygonal surface and seven other surfaces bordering said polygon, said polygonal surface having at least four equal edges, six of said other surfaces, including two pairs of parallel surfaces, forming dihedral angles of about 63° with said polygon, the seventh of said other surfaces forming a dihedral angle of about half the measure of the first six dihedral angles with respect to the side of said polygon which is opposed to the sides of said polygon from which said pairs of parallel surfaces extend, said puzzle piece able to be combined with other pieces of the same configuration, and also with puzzles pieces configurated as defined by claim 1, for the working of both tile-like puzzles or designs and three-dimensional puzzles.